72=2(11w-3)+2w

Solution for 72=2(11w-3)+2w equation:

Simplifying
72 = 2(11w + -3) + 2w

Reorder the terms:
72 = 2(-3 + 11w) + 2w
72 = (-3 * 2 + 11w * 2) + 2w
72 = (-6 + 22w) + 2w

Combine like terms: 22w + 2w = 24w
72 = -6 + 24w

Solving
72 = -6 + 24w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-24w' to each side of the equation.
72 + -24w = -6 + 24w + -24w

Combine like terms: 24w + -24w = 0
72 + -24w = -6 + 0
72 + -24w = -6

Add '-72' to each side of the equation.
72 + -72 + -24w = -6 + -72

Combine like terms: 72 + -72 = 0
0 + -24w = -6 + -72
-24w = -6 + -72

Combine like terms: -6 + -72 = -78
-24w = -78

Divide each side by '-24'.
w = 3.25

Simplifying
w = 3.25